Green function region of convergence nonlinear differential equation
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Given a second order nonlinear differential equation with the boundary values:
$y'' + frac{1}{x}y' + y^2 = 0$, with $y'(0)= 0, y(1)=1$
How would one estimate the region of convergence given by:
$$max_{x,t exists <0,1>}|G(x,t)|max_{y exists (-inf,inf)}f'(y) < 1$$
Any reference would be welcome because I'm new to Green functions.
ordinary-differential-equations greens-function
asked Jan 15 at 20:23
Nora oBristNora oBrist
83
$endgroup$
add a comment |
$begingroup$
Given a second order nonlinear differential equation with the boundary values:
$y'' + frac{1}{x}y' + y^2 = 0$, with $y'(0)= 0, y(1)=1$
How would one estimate the region of convergence given by:
$$max_{x,t exists <0,1>}|G(x,t)|max_{y exists (-inf,inf)}f'(y) < 1$$
Any reference would be welcome because I'm new to Green functions.
ordinary-differential-equations greens-function
asked Jan 15 at 20:23
Nora oBristNora oBrist
83
$endgroup$
$begingroup$
Could you add of what sequence you consider the convergence? And what is the linear operator you construct the Greens functions for? Just the first two terms?
$endgroup$
– LutzL
Jan 15 at 22:41
add a comment |
$begingroup$
Given a second order nonlinear differential equation with the boundary values:
$y'' + frac{1}{x}y' + y^2 = 0$, with $y'(0)= 0, y(1)=1$
How would one estimate the region of convergence given by:
$$max_{x,t exists <0,1>}|G(x,t)|max_{y exists (-inf,inf)}f'(y) < 1$$
Any reference would be welcome because I'm new to Green functions.
ordinary-differential-equations greens-function
asked Jan 15 at 20:23
Nora oBristNora oBrist
83
$endgroup$
Given a second order nonlinear differential equation with the boundary values:
$y'' + frac{1}{x}y' + y^2 = 0$, with $y'(0)= 0, y(1)=1$
How would one estimate the region of convergence given by:
$$max_{x,t exists <0,1>}|G(x,t)|max_{y exists (-inf,inf)}f'(y) < 1$$
Any reference would be welcome because I'm new to Green functions.
ordinary-differential-equations greens-function
ordinary-differential-equations greens-function
asked Jan 15 at 20:23
Nora oBristNora oBrist
83
asked Jan 15 at 20:23
Nora oBristNora oBrist
83
asked Jan 15 at 20:23
Nora oBristNora oBrist
83
asked Jan 15 at 20:23
Nora oBristNora oBrist
83
asked Jan 15 at 20:23
Nora oBristNora oBrist
83
83
$begingroup$
Could you add of what sequence you consider the convergence? And what is the linear operator you construct the Greens functions for? Just the first two terms?
$endgroup$
– LutzL
Jan 15 at 22:41
add a comment |
$begingroup$
Could you add of what sequence you consider the convergence? And what is the linear operator you construct the Greens functions for? Just the first two terms?
$endgroup$
– LutzL
Jan 15 at 22:41
$begingroup$
Could you add of what sequence you consider the convergence? And what is the linear operator you construct the Greens functions for? Just the first two terms?
$endgroup$
– LutzL
Jan 15 at 22:41
$begingroup$
Could you add of what sequence you consider the convergence? And what is the linear operator you construct the Greens functions for? Just the first two terms?
$endgroup$
– LutzL
Jan 15 at 22:41
add a comment |
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$begingroup$
Could you add of what sequence you consider the convergence? And what is the linear operator you construct the Greens functions for? Just the first two terms?
$endgroup$
– LutzL
Jan 15 at 22:41